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Coolmath Pre-Algebra
Percents Lesson 4 - How to Convert a Fraction to a Percent
(page 3 of 4)

---- This pre-algebra lesson explains how to convert (change) a fraction to a percent.

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So, what happens when you can't make the denominator a pretty power of 10?

Well, we just use long division and do a little rounding.  Let's just make our answers go to one decimal point.

Let's try one:

Convert 1 / 3
 
to a percent:

First, we use long division to convert the fraction to a decimal...

long division work for 1.00 divided by 3

Just like we thought, it's giving a repeating decimal:

1 / 3 = .3333...

So, we can give our answer as

1 / 3 = .333 with a bar over the last 3 = 33.3% with a bar over the last 3

Or we can round off and approximate the answer as

1 / 3 is approximately equal to .33 = 33%
Notice that I used a wavy equals for "approximately equal!"

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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